Question

find the lateral area of the prism. the base is a regular octagon. 9 m 15 m square meters

Explanation:

Step1: Recall lateral - area formula for prism

$L = Ph$, where $P$ is the perimeter of the base and $h$ is the height of the prism.

Step2: Calculate the perimeter of the regular - octagon base

A regular octagon has 8 equal sides. Given side length $s = 9$ m, so $P=8s = 8\times9=72$ m.

Step3: Identify the height of the prism

The height of the prism $h = 15$ m.

Step4: Calculate the lateral area

$L=Ph=72\times15 = 1080$ square meters.

Answer:

1080